| Summary: | The study of the unsteady magnetohydrodynamic three-dimensional radiative flow of a viscous incompressible electrically conducting Casson liquid along a stretching surface including the effects of Hall current is presented in this article. The fluid flow model consists of time-dependent partial differential equations which are highly non-linear. Similarity transformations are utilized to obtain ordinary differential equations in similarity form. Further, a numerical approach, namely spectral quasilinearization method (SQLM), is used to solve resulting highly nonlinear ordinary differential equations. A detailed analysis is carried out to study the influences of significant parameters, such as Casson liquid parameter, Hall current parameter, magnetic parameter, unsteadiness parameter, radiative parameter, on the profiles’ of the velocity field and temperature field. The behavior of emerging quantities of engineering interest such as skin friction coefficient and the Nusselt number is also studied. Fluid flow model as presented in the paper finds applications in silicon suspensions, blood flow, polymer engineering, and printing industry. Keywords: Casson fluid, Hall effect, Radiation, Stretching surface, Spectral quasilinearization method
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